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797052672 = 28321322389
BaseRepresentation
bin101111100000100…
…000111100000000
32001112210110201100
4233200200330000
53113021141142
6211031334400
725515556503
oct5740407400
92045713640
10797052672
11379a08519
121a2b21400
13c9190500
1477bdd13a
1549e93b4c
hex2f820f00

797052672 has 324 divisors, whose sum is σ = 2625845040. Its totient is φ = 231948288.

The previous prime is 797052661. The next prime is 797052673. The reversal of 797052672 is 276250797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797052673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8955604 + ... + 8955692.

It is an arithmetic number, because the mean of its divisors is an integer number (8104460).

Almost surely, 2797052672 is an apocalyptic number.

797052672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312922520).

797052672 is an abundant number, since it is smaller than the sum of its proper divisors (1828792368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

797052672 is a wasteful number, since it uses less digits than its factorization.

797052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 797052672 is about 28232.1212805556. The cubic root of 797052672 is about 927.1763401123.

The spelling of 797052672 in words is "seven hundred ninety-seven million, fifty-two thousand, six hundred seventy-two".